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Finding the Third Proportional to 12,324.66 and 26,874.28

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Solution

The third proportional to 12,324.66 and 26,874.28 is: 58,600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.66 : 26,874.28 = 26,874.28 : x
  2. Step 2: Convert to fraction form
    12,324.66/26,874.28 = 26,874.28/x
  3. Step 3: Cross multiply
    12,324.66x = 26,874.28 × 26,874.28
  4. Step 4: Simplify right side
    12,324.66x = 722,226,992.70
  5. Step 5: Solve for x
    x = 722,226,992.70/12,324.66
  6. Step 6: Final answer
    x = 58,600.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.